Table of Contents



July


July 23nd 2007
triangle_angles_1.JPG
work out the hypotenuse side.

July 18th 2007
Calculate AD
triangle_angles_2.JPG
July 9th 2007
This is definitely one of the hardest number puzzles on this site.
A teacher says: I'm thinking of two natural numbers bigger than 1. Try to guess what they are.
The first student knows their product and the other one knows their sum.
First: I do not know the sum.
Second: I knew that. The sum is less than 14.
First: I knew that. However, now I know the numbers.
Second: And so do I.
What were the numbers?

July 2nd 2007
A teacher thinks of two consecutive numbers between 1 and 10. The first student knows one number and the second student knows the second number. The conversation of the students is as follows:
First: I do not know your number.
Second: Neither do I know your number.
First: Now I know.
Will you find all 4 solutions?

June


June 25th 2007
Calculate Spearman's Rank Correlation Coefficient of this data
Spearmans_2.JPG

June 18th 2007
Simplify the following and solve


June 11th 2007
Prove that:


June 4th 2007
Give the Minimum (or maximum) points for each of these quadratics:




May


May 28th 2007
Simplify the following




May 21st 2007 (Difficult)
circletheoremandcosinerule.gif
If the radius of the circle is 10cm. What is the length of AB?
HINT: Start with circle theorems and move to cosine rule.....

May 14th 2007
circlequestion1.gif

Calculate the area of the shaded region

May 7th 2007
similar_triangle_1.gif
If AB is 4cm, BC is 10cm, AE is 2.5cm and CD is 10.5
Calculate AD and BE

April


April 23th 2007
I use a piece of wire 100cm long to make a rectangle.
What is the biggest area that can be contained within the wire rectangle?
(HINT: if the length of the rectangle is x, what would the width be?)

April 16th 2007
Use completing the square to solve the following


April 2nd 2007
Simplify the following:


March


26th March 2007
Simplify the following

leave answer in SURD form

19th March 2007
simequation.gif

Solve the simultaneous equations
a) Graphically
b) Algebraically

12th March 2007
cicle_question_1.JPG

5th March 2007
Simplify the following:


February


26th Feb 2007
a) work out the other angles here:
sine-cosine_rule.gif

19th Feb 2007
a) work out the area if the perimeter is 77cm:

arrow_question.gif